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Finding the Fourth Proportional to 360.50, 541.08 and 197.96

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Solution

The fourth proportional to 360.50, 541.08 and 197.96 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 541.08 = 197.96 : x
  2. Step 2: Convert to fraction form
    360.50/541.08 = 197.96/x
  3. Step 3: Cross multiply
    360.50x = 541.08 × 197.96
  4. Step 4: Simplify right side
    360.50x = 107,112.20
  5. Step 5: Solve for x
    x = 107,112.20/360.50
  6. Step 6: Final answer
    x = 297.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.